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5431776 = 253759137
BaseRepresentation
bin10100101110000111100000
3101012221222220
4110232013200
52342304101
6312231040
764112040
oct24560740
911187886
105431776
11307aa79
12199b480
13118248c
14a15720
15724636
hex52e1e0

5431776 has 96 divisors (see below), whose sum is σ = 16692480. Its totient is φ = 1514496.

The previous prime is 5431771. The next prime is 5431799. The reversal of 5431776 is 6771345.

5431776 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5431771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39580 + ... + 39716.

It is an arithmetic number, because the mean of its divisors is an integer number (173880).

Almost surely, 25431776 is an apocalyptic number.

5431776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5431776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346240).

5431776 is an abundant number, since it is smaller than the sum of its proper divisors (11260704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5431776 is a wasteful number, since it uses less digits than its factorization.

5431776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 5431776 is about 2330.6170856664. The cubic root of 5431776 is about 175.7845158959.

The spelling of 5431776 in words is "five million, four hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 137 168 177 224 236 274 336 354 411 413 472 548 672 708 822 826 944 959 1096 1239 1416 1644 1652 1888 1918 2192 2478 2832 2877 3288 3304 3836 4384 4956 5664 5754 6576 6608 7672 8083 9912 11508 13152 13216 15344 16166 19824 23016 24249 30688 32332 39648 46032 48498 56581 64664 92064 96996 113162 129328 169743 193992 226324 258656 339486 387984 452648 678972 775968 905296 1357944 1810592 2715888 5431776